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Finding the Fourth Proportional to 299.57, 451.65 and 254.24

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Solution

The fourth proportional to 299.57, 451.65 and 254.24 is: 383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 451.65 = 254.24 : x
  2. Step 2: Convert to fraction form
    299.57/451.65 = 254.24/x
  3. Step 3: Cross multiply
    299.57x = 451.65 × 254.24
  4. Step 4: Simplify right side
    299.57x = 114,825.24
  5. Step 5: Solve for x
    x = 114,825.24/299.57
  6. Step 6: Final answer
    x = 383.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.